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Finding the Fourth Proportional to 259,697,581,030.40, 389,546,371,545.60 and 259,697,581,030.40

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Solution

The fourth proportional to 259,697,581,030.40, 389,546,371,545.60 and 259,697,581,030.40 is: 389,546,371,545.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,697,581,030.40 : 389,546,371,545.60 = 259,697,581,030.40 : x
  2. Step 2: Convert to fraction form
    259,697,581,030.40/389,546,371,545.60 = 259,697,581,030.40/x
  3. Step 3: Cross multiply
    259,697,581,030.40x = 389,546,371,545.60 × 259,697,581,030.40
  4. Step 4: Simplify right side
    259,697,581,030.40x = 101,164,250,389,561,753,993,216
  5. Step 5: Solve for x
    x = 101,164,250,389,561,753,993,216/259,697,581,030.40
  6. Step 6: Final answer
    x = 389,546,371,545.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.